Convergence theorems on total asymptotically demicontractive and hemicontractive mappings in CAT(0) spaces.

The purpose of this paper is to introduce the concepts of total asymptotically demicontractive mappings and total asymptotically hemicontractive mappings. Under suitable conditions some strong convergence theorems for these two kinds of mappings to converge to their fixed points in CAT(0) space are proved. The results presented in the paper extend and improve some recent results announced in the current literature. [ABSTRACT FROM AUTHOR]